Apparent power-law behavior of conductance in disordered quasi-one-dimensional systems

TL;DR

This paper demonstrates through numerical simulations that the conductance in disordered quasi-one-dimensional systems often follows a power-law dependence on temperature and voltage, challenging the traditional stretched-exponential model.

Contribution

It introduces a numerical approach showing power-law behavior in conductance, providing new insights into disordered 1D systems and connecting with recent experimental and theoretical work.

Findings

Conductance often follows a power-law dependence

Numerical results challenge the stretched-exponential model

Relevance to recent experimental observations

Abstract

Dependence of hopping conductance on temperature and voltage for an ensemble of modestly long one-dimensional wires is studied numerically using the shortest-path algorithm. In a wide range of parameters this dependence can be approximated by a power-law rather than the usual stretched-exponential form. Relation to recent experiments and prior analytical theory is discussed.